{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,28]],"date-time":"2025-09-28T04:08:44Z","timestamp":1759032524589},"reference-count":20,"publisher":"Springer Science and Business Media LLC","issue":"6","license":[{"start":{"date-parts":[[2014,2,13]],"date-time":"2014-02-13T00:00:00Z","timestamp":1392249600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Soft Comput"],"published-print":{"date-parts":[[2014,6]]},"DOI":"10.1007\/s00500-014-1228-6","type":"journal-article","created":{"date-parts":[[2014,2,12]],"date-time":"2014-02-12T13:35:28Z","timestamp":1392212128000},"page":"1041-1053","source":"Crossref","is-referenced-by-count":5,"title":["Lexicographic product vs $$\\mathbb Q$$ Q -perfect and $$\\mathbb H$$ H -perfect pseudo effect algebras"],"prefix":"10.1007","volume":"18","author":[{"given":"Anatolij","family":"Dvure\u010denskij","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Miroslav","family":"Kola\u0159\u00edk","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2014,2,13]]},"reference":[{"key":"1228_CR1","doi-asserted-by":"crossref","DOI":"10.1007\/978-94-015-9480-6","volume-title":"Algebraic foundations of many-valued reasoning","author":"R Cignoli","year":"2000","unstructured":"Cignoli R, D\u2019Ottaviano IML, Mundici D (2000) Algebraic foundations of many-valued reasoning. Kluwer Academic Publ, Dordrecht"},{"key":"1228_CR2","doi-asserted-by":"crossref","first-page":"301","DOI":"10.1023\/A:1012490620450","volume":"68","author":"A Dvure\u010denskij","year":"2001","unstructured":"Dvure\u010denskij A (2001) States on pseudo MV-algebras. Studia Logica 68:301\u2013327","journal-title":"Studia Logica"},{"key":"1228_CR3","doi-asserted-by":"crossref","first-page":"427","DOI":"10.1017\/S1446788700036806","volume":"72","author":"A Dvure\u010denskij","year":"2002","unstructured":"Dvure\u010denskij A (2002) Pseudo MV-algebras are intervals in $$\\ell $$ \u2113 -groups. J Austral Math Soc 72:427\u2013445","journal-title":"J Austral Math Soc"},{"key":"1228_CR4","first-page":"85","volume":"52","author":"A Dvure\u010denskij","year":"2004","unstructured":"Dvure\u010denskij A (2004) States and radicals of pseudo-effect algebras. Atti Sem Mat Fis Univ Modena Reggio Emilia 52:85\u2013103","journal-title":"Atti Sem Mat Fis Univ Modena Reggio Emilia"},{"key":"1228_CR5","doi-asserted-by":"crossref","first-page":"183","DOI":"10.1017\/S1446788700016025","volume":"82","author":"A Dvure\u010denskij","year":"2007","unstructured":"Dvure\u010denskij A (2007) Perfect effect algebras are categorically equivalent with Abelian interpolation po-groups. J Austral Math Soc 82:183\u2013207","journal-title":"J Austral Math Soc"},{"key":"1228_CR6","doi-asserted-by":"crossref","first-page":"4921","DOI":"10.1016\/j.jalgebra.2008.03.027","volume":"319","author":"A Dvure\u010denskij","year":"2008","unstructured":"Dvure\u010denskij A (2008) On n-perfect GMV-algebras. J Algebra 319:4921\u20134946","journal-title":"J Algebra"},{"key":"1228_CR7","doi-asserted-by":"crossref","first-page":"257","DOI":"10.1007\/s00500-009-0400-x","volume":"14","author":"A Dvure\u010denskij","year":"2010","unstructured":"Dvure\u010denskij A (2010) Cyclic elements and subalgebras of GMV-algebras. Soft Comput 14:257\u2013264. doi: 10.1007\/s00500-009-0400-x","journal-title":"Soft Comput"},{"key":"1228_CR8","doi-asserted-by":"crossref","unstructured":"Dvure\u010denskij A, Krn\u030c\u00e1vek J (2013) The lexicographic product of po-groups and n-perfect pseudo effect algebras. Inter J Theor Phys 52:2760\u20132772. doi: 10.1007\/s10773-013-1568-5","DOI":"10.1007\/s10773-013-1568-5"},{"key":"1228_CR9","doi-asserted-by":"crossref","DOI":"10.1007\/978-94-017-2422-7","volume-title":"New trends in quantum structures","author":"A Dvure\u010denskij","year":"2000","unstructured":"Dvure\u010denskij A, Pulmannov\u00e1 S (2000) New trends in quantum structures. Kluwer Acad. Publ, Dordrecht"},{"key":"1228_CR10","doi-asserted-by":"crossref","first-page":"685","DOI":"10.1023\/A:1004192715509","volume":"40","author":"A Dvure\u010denskij","year":"2001","unstructured":"Dvure\u010denskij A, Vetterlein T (2001a) Pseudoeffect algebras. I. Basic properties. Inter J Theor Phys 40:685\u2013701","journal-title":"Inter J Theor Phys"},{"key":"1228_CR11","doi-asserted-by":"crossref","first-page":"703","DOI":"10.1023\/A:1004144832348","volume":"40","author":"A Dvure\u010denskij","year":"2001","unstructured":"Dvure\u010denskij A, Vetterlein T (2001b) Pseudoeffect algebras. II. Group representation. Inter J Theor Phys 40:703\u2013726","journal-title":"Inter J Theor Phys"},{"key":"1228_CR12","doi-asserted-by":"crossref","unstructured":"Dvure\u010denskij A, Xie Y, Yang A (2013) Discrete (n+1)-valued states and n-perfect pseudo-effect algebras. Soft Comput. doi: 10.1007\/s00500-013-1001-2","DOI":"10.1007\/s00500-013-1001-2"},{"key":"1228_CR13","doi-asserted-by":"crossref","first-page":"1331","DOI":"10.1007\/BF02283036","volume":"24","author":"DJ Foulis","year":"1994","unstructured":"Foulis DJ, Bennett MK (1994) Effect algebras and unsharp quantum logics. Found Phys 24:1331\u20131352","journal-title":"Found Phys"},{"key":"1228_CR14","volume-title":"Partially ordered algebraic systems","author":"L Fuchs","year":"1963","unstructured":"Fuchs L (1963) Partially ordered algebraic systems. Pergamon Press, Oxford"},{"key":"1228_CR15","doi-asserted-by":"crossref","DOI":"10.1142\/3811","volume-title":"Partially Ordered Groups","author":"AMW Glass","year":"1999","unstructured":"Glass AMW (1999) Partially Ordered Groups. World Scientific, Singapore"},{"key":"1228_CR16","unstructured":"Goodearl KR (1986) Partially Ordered Abelian Groups with Interpolation. Math Surveys and Monographs No. 20, Amer Math Soc Providence, Rhode Island"},{"key":"1228_CR17","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-49888-6","volume-title":"Grundbegriffe der Wahrscheinlichkeitsrechnung","author":"AN Kolmogorov","year":"1933","unstructured":"Kolmogorov AN (1933) Grundbegriffe der Wahrscheinlichkeitsrechnung. Julius Springer, Berlin"},{"key":"1228_CR18","first-page":"21","volume":"44","author":"F K\u00f4pka","year":"1994","unstructured":"K\u00f4pka F, Chovanec F (1994) D-posets. Math Slovaca 44:21\u201334","journal-title":"Math Slovaca"},{"key":"1228_CR19","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-9839-7","volume-title":"Categories for the working mathematician","author":"S Mac Lane","year":"1971","unstructured":"Mac Lane S (1971) Categories for the working mathematician. Springer-Verlag, New York"},{"key":"1228_CR20","unstructured":"Ravindran K (1996) On a structure theory of effect algebras. PhD thesis, Kansas State Univ., Manhattan, Kansas"}],"container-title":["Soft Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-014-1228-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00500-014-1228-6\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-014-1228-6","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,29]],"date-time":"2019-05-29T01:43:37Z","timestamp":1559094217000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00500-014-1228-6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,2,13]]},"references-count":20,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2014,6]]}},"alternative-id":["1228"],"URL":"https:\/\/doi.org\/10.1007\/s00500-014-1228-6","relation":{},"ISSN":["1432-7643","1433-7479"],"issn-type":[{"value":"1432-7643","type":"print"},{"value":"1433-7479","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,2,13]]}}}